Open CASCADE Technology  7.3.1.dev
Public Member Functions
Geom_Line Class Reference

Describes an infinite line. A line is defined and positioned in space with an axis (gp_Ax1 object) which gives it an origin and a unit vector. The Geom_Line line is parameterized: P (U) = O + U*Dir, where: More...

#include <Geom_Line.hxx>

Inheritance diagram for Geom_Line:
Inheritance graph
[legend]

Public Member Functions

 Geom_Line (const gp_Ax1 &A1)
 Creates a line located in 3D space with the axis placement A1. The Location of A1 is the origin of the line. More...
 
 Geom_Line (const gp_Lin &L)
 Creates a line from a non transient line from package gp. More...
 
 Geom_Line (const gp_Pnt &P, const gp_Dir &V)
 Constructs a line passing through point P and parallel to vector V (P and V are, respectively, the origin and the unit vector of the positioning axis of the line). More...
 
void SetLin (const gp_Lin &L)
 Set <me> so that <me> has the same geometric properties as L. More...
 
void SetDirection (const gp_Dir &V)
 changes the direction of the line. More...
 
void SetLocation (const gp_Pnt &P)
 changes the "Location" point (origin) of the line. More...
 
void SetPosition (const gp_Ax1 &A1)
 changes the "Location" and a the "Direction" of <me>. More...
 
gp_Lin Lin () const
 Returns non transient line from gp with the same geometric properties as <me> More...
 
const gp_Ax1Position () const
 Returns the positioning axis of this line; this is also its local coordinate system. More...
 
void Reverse () override
 Changes the orientation of this line. As a result, the unit vector of the positioning axis of this line is reversed. More...
 
Standard_Real ReversedParameter (const Standard_Real U) const override
 Computes the parameter on the reversed line for the point of parameter U on this line. For a line, the returned value is -U. More...
 
Standard_Real FirstParameter () const override
 Returns the value of the first parameter of this line. This is Standard_Real::RealFirst(). More...
 
Standard_Real LastParameter () const override
 Returns the value of the last parameter of this line. This is Standard_Real::RealLast(). More...
 
Standard_Boolean IsClosed () const override
 returns False More...
 
Standard_Boolean IsPeriodic () const override
 returns False More...
 
GeomAbs_Shape Continuity () const override
 Returns GeomAbs_CN, which is the global continuity of any line. More...
 
Standard_Boolean IsCN (const Standard_Integer N) const override
 returns True. Raised if N < 0. More...
 
void D0 (const Standard_Real U, gp_Pnt &P) const override
 Returns in P the point of parameter U. P (U) = O + U * Dir where O is the "Location" point of the line and Dir the direction of the line. More...
 
void D1 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1) const override
 Returns the point P of parameter u and the first derivative V1. More...
 
void D2 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2) const override
 Returns the point P of parameter U, the first and second derivatives V1 and V2. V2 is a vector with null magnitude for a line. More...
 
void D3 (const Standard_Real U, gp_Pnt &P, gp_Vec &V1, gp_Vec &V2, gp_Vec &V3) const override
 V2 and V3 are vectors with null magnitude for a line. More...
 
gp_Vec DN (const Standard_Real U, const Standard_Integer N) const override
 The returned vector gives the value of the derivative for the order of derivation N. Raised if N < 1. More...
 
void Transform (const gp_Trsf &T) override
 Applies the transformation T to this line. More...
 
virtual Standard_Real TransformedParameter (const Standard_Real U, const gp_Trsf &T) const override
 Returns the parameter on the transformed curve for the transform of the point of parameter U on <me>. More...
 
virtual Standard_Real ParametricTransformation (const gp_Trsf &T) const override
 Returns a coefficient to compute the parameter on the transformed curve for the transform of the point on <me>. More...
 
Handle< Geom_GeometryCopy () const override
 Creates a new object which is a copy of this line. More...
 
- Public Member Functions inherited from Geom_Curve
Handle< Geom_CurveReversed () const
 Returns a copy of <me> reversed. More...
 
virtual Standard_Real Period () const
 Returns the period of this curve. Exceptions Standard_NoSuchObject if this curve is not periodic. More...
 
gp_Pnt Value (const Standard_Real U) const
 Computes the point of parameter U on <me>. If the curve is periodic then the returned point is P(U) with U = Ustart + (U - Uend) where Ustart and Uend are the parametric bounds of the curve. it is implemented with D0. More...
 
- Public Member Functions inherited from Geom_Geometry
void Mirror (const gp_Pnt &P)
 Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry. More...
 
void Mirror (const gp_Ax1 &A1)
 Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry. More...
 
void Mirror (const gp_Ax2 &A2)
 Performs the symmetrical transformation of a Geometry with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection). More...
 
void Rotate (const gp_Ax1 &A1, const Standard_Real Ang)
 Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More...
 
void Scale (const gp_Pnt &P, const Standard_Real S)
 Scales a Geometry. S is the scaling value. More...
 
void Translate (const gp_Vec &V)
 Translates a Geometry. V is the vector of the tanslation. More...
 
void Translate (const gp_Pnt &P1, const gp_Pnt &P2)
 Translates a Geometry from the point P1 to the point P2. More...
 
Handle< Geom_GeometryMirrored (const gp_Pnt &P) const
 
Handle< Geom_GeometryMirrored (const gp_Ax1 &A1) const
 
Handle< Geom_GeometryMirrored (const gp_Ax2 &A2) const
 
Handle< Geom_GeometryRotated (const gp_Ax1 &A1, const Standard_Real Ang) const
 
Handle< Geom_GeometryScaled (const gp_Pnt &P, const Standard_Real S) const
 
Handle< Geom_GeometryTransformed (const gp_Trsf &T) const
 
Handle< Geom_GeometryTranslated (const gp_Vec &V) const
 
Handle< Geom_GeometryTranslated (const gp_Pnt &P1, const gp_Pnt &P2) const
 
- Public Member Functions inherited from Standard_Transient
 Standard_Transient ()
 Empty constructor. More...
 
 Standard_Transient (const Standard_Transient &)
 Copy constructor – does nothing. More...
 
Standard_Transientoperator= (const Standard_Transient &)
 Assignment operator, needed to avoid copying reference counter. More...
 
virtual ~Standard_Transient ()
 Destructor must be virtual. More...
 
virtual void Delete () const
 Memory deallocator for transient classes. More...
 
virtual const opencascade::handle< Standard_Type > & DynamicType () const
 Returns a type descriptor about this object. More...
 
Standard_Boolean IsInstance (const opencascade::handle< Standard_Type > &theType) const
 Returns a true value if this is an instance of Type. More...
 
Standard_Boolean IsInstance (const Standard_CString theTypeName) const
 Returns a true value if this is an instance of TypeName. More...
 
Standard_Boolean IsKind (const opencascade::handle< Standard_Type > &theType) const
 Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...
 
Standard_Boolean IsKind (const Standard_CString theTypeName) const
 Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More...
 
Standard_TransientThis () const
 Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. More...
 
Standard_Integer GetRefCount () const
 Get the reference counter of this object. More...
 
void IncrementRefCounter () const
 Increments the reference counter of this object. More...
 
Standard_Integer DecrementRefCounter () const
 Decrements the reference counter of this object; returns the decremented value. More...
 

Additional Inherited Members

- Public Types inherited from Standard_Transient
typedef void base_type
 Returns a type descriptor about this object. More...
 
- Static Public Member Functions inherited from Standard_Transient
static const char * get_type_name ()
 Returns a type descriptor about this object. More...
 
static const opencascade::handle< Standard_Type > & get_type_descriptor ()
 Returns type descriptor of Standard_Transient class. More...
 

Detailed Description

Describes an infinite line. A line is defined and positioned in space with an axis (gp_Ax1 object) which gives it an origin and a unit vector. The Geom_Line line is parameterized: P (U) = O + U*Dir, where:

Constructor & Destructor Documentation

◆ Geom_Line() [1/3]

Geom_Line::Geom_Line ( const gp_Ax1 A1)

Creates a line located in 3D space with the axis placement A1. The Location of A1 is the origin of the line.

◆ Geom_Line() [2/3]

Geom_Line::Geom_Line ( const gp_Lin L)

Creates a line from a non transient line from package gp.

◆ Geom_Line() [3/3]

Geom_Line::Geom_Line ( const gp_Pnt P,
const gp_Dir V 
)

Constructs a line passing through point P and parallel to vector V (P and V are, respectively, the origin and the unit vector of the positioning axis of the line).

Member Function Documentation

◆ Continuity()

GeomAbs_Shape Geom_Line::Continuity ( ) const
overridevirtual

Returns GeomAbs_CN, which is the global continuity of any line.

Implements Geom_Curve.

◆ Copy()

Handle< Geom_Geometry > Geom_Line::Copy ( ) const
overridevirtual

Creates a new object which is a copy of this line.

Implements Geom_Geometry.

◆ D0()

void Geom_Line::D0 ( const Standard_Real  U,
gp_Pnt P 
) const
overridevirtual

Returns in P the point of parameter U. P (U) = O + U * Dir where O is the "Location" point of the line and Dir the direction of the line.

Implements Geom_Curve.

◆ D1()

void Geom_Line::D1 ( const Standard_Real  U,
gp_Pnt P,
gp_Vec V1 
) const
overridevirtual

Returns the point P of parameter u and the first derivative V1.

Implements Geom_Curve.

◆ D2()

void Geom_Line::D2 ( const Standard_Real  U,
gp_Pnt P,
gp_Vec V1,
gp_Vec V2 
) const
overridevirtual

Returns the point P of parameter U, the first and second derivatives V1 and V2. V2 is a vector with null magnitude for a line.

Implements Geom_Curve.

◆ D3()

void Geom_Line::D3 ( const Standard_Real  U,
gp_Pnt P,
gp_Vec V1,
gp_Vec V2,
gp_Vec V3 
) const
overridevirtual

V2 and V3 are vectors with null magnitude for a line.

Implements Geom_Curve.

◆ DN()

gp_Vec Geom_Line::DN ( const Standard_Real  U,
const Standard_Integer  N 
) const
overridevirtual

The returned vector gives the value of the derivative for the order of derivation N. Raised if N < 1.

Implements Geom_Curve.

◆ FirstParameter()

Standard_Real Geom_Line::FirstParameter ( ) const
overridevirtual

Returns the value of the first parameter of this line. This is Standard_Real::RealFirst().

Implements Geom_Curve.

◆ IsClosed()

Standard_Boolean Geom_Line::IsClosed ( ) const
overridevirtual

returns False

Implements Geom_Curve.

◆ IsCN()

Standard_Boolean Geom_Line::IsCN ( const Standard_Integer  N) const
overridevirtual

returns True. Raised if N < 0.

Implements Geom_Curve.

◆ IsPeriodic()

Standard_Boolean Geom_Line::IsPeriodic ( ) const
overridevirtual

returns False

Implements Geom_Curve.

◆ LastParameter()

Standard_Real Geom_Line::LastParameter ( ) const
overridevirtual

Returns the value of the last parameter of this line. This is Standard_Real::RealLast().

Implements Geom_Curve.

◆ Lin()

gp_Lin Geom_Line::Lin ( ) const

Returns non transient line from gp with the same geometric properties as <me>

◆ ParametricTransformation()

virtual Standard_Real Geom_Line::ParametricTransformation ( const gp_Trsf T) const
overridevirtual

Returns a coefficient to compute the parameter on the transformed curve for the transform of the point on <me>.

Transformed(T)->Value(U * ParametricTransformation(T))

is the same point as

Value(U).Transformed(T)

This methods returns T.ScaleFactor()

Reimplemented from Geom_Curve.

◆ Position()

const gp_Ax1& Geom_Line::Position ( ) const

Returns the positioning axis of this line; this is also its local coordinate system.

◆ Reverse()

void Geom_Line::Reverse ( )
overridevirtual

Changes the orientation of this line. As a result, the unit vector of the positioning axis of this line is reversed.

Implements Geom_Curve.

◆ ReversedParameter()

Standard_Real Geom_Line::ReversedParameter ( const Standard_Real  U) const
overridevirtual

Computes the parameter on the reversed line for the point of parameter U on this line. For a line, the returned value is -U.

Implements Geom_Curve.

◆ SetDirection()

void Geom_Line::SetDirection ( const gp_Dir V)

changes the direction of the line.

◆ SetLin()

void Geom_Line::SetLin ( const gp_Lin L)

Set <me> so that <me> has the same geometric properties as L.

◆ SetLocation()

void Geom_Line::SetLocation ( const gp_Pnt P)

changes the "Location" point (origin) of the line.

◆ SetPosition()

void Geom_Line::SetPosition ( const gp_Ax1 A1)

changes the "Location" and a the "Direction" of <me>.

◆ Transform()

void Geom_Line::Transform ( const gp_Trsf T)
overridevirtual

Applies the transformation T to this line.

Implements Geom_Geometry.

◆ TransformedParameter()

virtual Standard_Real Geom_Line::TransformedParameter ( const Standard_Real  U,
const gp_Trsf T 
) const
overridevirtual

Returns the parameter on the transformed curve for the transform of the point of parameter U on <me>.

me->Transformed(T)->Value(me->TransformedParameter(U,T))

is the same point as

me->Value(U).Transformed(T)

This methods returns <U> * T.ScaleFactor()

Reimplemented from Geom_Curve.


The documentation for this class was generated from the following file: